Semiclassical approximation of path integrals on and near caustics in terms of catastrophes

DOI10.1016/0003-4916(79)90236-7zbMath0425.58008OpenAlexW1974302022MaRDI QIDQ1135557

W. Veit, Gerhard Dangelmayr

Publication date: 1979

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(79)90236-7

zbMATH Keywords

catastrophe theoryFeynman path integralinfinite-dimensional Morse theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Catastrophe theory (58K35)

Related Items (5)

Remarks on the singularity indices of Arnol'd and Berry ⋮ Applications of catastrophe theory to the physical sciences ⋮ Second term of the logarithmic asymptotics of path integrals ⋮ Quantum caustics for systems with quadratic Lagrangians ⋮ Quantum caustics for systems with quadratic Lagrangians in multi-dimensions

Cites Work

• Stability of unfoldings
• On differentiable functions with isolated critical points
• Feynman's path integral. Definition without limiting procedure
• Integration in Functional Spaces and its Applications in Quantum Physics
• Boundary layer problems in diffraction theory
• REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• Uniform asymptotic expansions at a caustic
• On the Definition and Approximation of Feynman's Path Integrals
• On Feynmann’s ‘integral over all paths’
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